Results 51 to 60 of about 14,447 (145)
Pseudoprime Reductions of Elliptic Curves [PDF]
Canadian Journal of Mathematics, 2012 Abstract Let E be an elliptic curve over ℚ without complex multiplication, and for each prime p of good reduction, let nE(p) = |E(𝔽p)|. For any integer b, we consider elliptic pseudoprimes to the base b. More precisely, let QE,b(x) be the number of primes p ⩽ x such that bnE(p) ≡ b (mod nE(p)), and let πpseuE,b (x) be the number of compositive nE(p ...
David, Chantal, Wu, J
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ED25519: A New Secure Compatible Elliptic Curve for Mobile Wireless Network Security
Jordanian Journal of Computers and Information Technology, 2022 Wireless Sensor Networks (WSNs) create various security threats such as application variance in different sectors along with the model of cryptographic primitive and necessity.
MAUSAM DAS, Zenghui Wang
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ELLIPTIC-CURVE CRYPTOGRAPHY (ECC) AND ARGON2 ALGORITHM IN PHP USING OPENSSL AND SODIUM LIBRARIES
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2020 This paper presents the elliptic-curve cryptography (ECC) and Argon2 algorithm in PHP using OpenSSL and Sodium cryptographic libraries. The vital part of this thesis presents an analysis of the efficiency of elliptic-curve cryptography (ECC) and the ...
Mariusz Duka
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Elliptic Curve Lightweight Cryptography: A Survey
IEEE Access, 2018 Since it was invented in 1986, elliptic curve cryptography (ECC) has been studied widely in industry and academy from different perspectives. Some of these aspects include mathematical foundations, protocol design, curve generation, security proofs ...
Carlos Andres Lara-Nino +2 more
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Mathematics, 2022 The remote authentication scheme is a cryptographic protocol incorporated by user–server applications to prevent unauthorized access and security attacks.
Fairuz Shohaimay, Eddie Shahril Ismail
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On 12-congruences of elliptic curves
International Journal of Number Theory, 2023 We construct infinite families of pairs of (geometrically non-isogenous) elliptic curves defined over [Formula: see text] with [Formula: see text]-torsion subgroups that are isomorphic as Galois modules. This extends previous work of Chen and Fisher where it is assumed that the underlying isomorphism of [Formula: see text]-torsion subgroups respects ...
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Nested Method for Optimizing Elliptic Curve Scalar Multiplication [PDF]
Engineering and Technology Journal, 2017 The algebraic curve that attracted considerable interest in recent years is called Elliptic Curve (EC). This is due to the computational complexity of its arithmetic over a finite field.
N. Ghanim, M. Magamiss
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Murmurations of Elliptic Curves
Experimental Mathematics27 pages, 16 figures, 2 ...
He, Yang-Hui +3 more
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COHERENT SYSTEMS ON ELLIPTIC CURVES [PDF]
International Journal of Mathematics, 2005 In this paper we consider coherent systems (E,V) on an elliptic curve which are α-stable with respect to some value of a parameter α. We show that the corresponding moduli spaces, if non-empty, are smooth and irreducible of the expected dimension. Moreover we give precise conditions for non-emptiness of the moduli spaces.
Herbert Lange, Peter E. Newstead
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An Efficient Signature Scheme From Supersingular Elliptic Curve Isogenies
IEEE Access, 2019 Since supersingular elliptic curve isogenies are one of the several candidate sources of hardness for building post-quantum cryptographic primitives, the research of efficient signature schemes based on them is still a hot topic.
Yan Huang +3 more
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